Question: Problem 1 (10 Points, 2.5 points each, -1.25 per error) You have a set of 12 potential projects from which you must select a subset

Problem 1 (10 Points, 2.5 points each, -1.25 per

Problem 1 (10 Points, 2.5 points each, -1.25 per error) You have a set of 12 potential projects from which you must select a subset of projects. We will use binary variables X1 ... X12, where if a project is selected, then its corresponding variable = 1, 0 otherwise. Formulate each of the constraints and ensure that you show your work and list your variables in the correct order. Constraint 1) Project 4 could be selected if and only if both Project 1 & Project 12 are selected. Constraint 2) Project 11 must be selected if Project 2 is selected. Project 2 must be selected if Project 11 is selected. Constraint 3) At most, you could select 8 projects. Constraint 4) Project 10 must be selected if all of Projects 2, 4, 5, 6, & 7 are selected. Formulate the model in your Word document using the headings listed below: Constraints: Additional Work for Constraints

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